A collection of coins consists of nickels, dimes, and quarters. There are four fewer quarters than nickels and 3 more dimes and quarters. How many of each kind of coin are in the collection if the total value of the collection is $6.5?

Answer:

Step-by-step explanation:

Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

Answer: The interest customer earn in 20 years will be, $ 660

Step-by-step explanation :

Given:

Principle = $3000

Interest rate = 1.1 %

Time = 20 years

Now we have to determine the simple interest.

Formula used :

where,

P = principle

R = interest rate

T = time

S.I = simple interest

Now put all the given values in the above formula, we get:

Thus, the interest customer earn in 20 years will be, $ 660

Hoped this help :) I’m also a fan of flimflam

Answer:

They were charged 300 minutes of phone calls.

Step-by-step explanation:

$30.35 was the monthly charge for this service provider. Subtract that from the $45.35 which would leave $15. $15 divided by $.05 = 300. 300 minutes is your answer.

Answer:

whoa hold up there friend

Step-by-step explanation:

it will be 4,6,8,10 and the 2nd one is $10,$15,$20,$25

The p-value is .11 and the significance level is .05, then we fail to reject the null hypothesis.

The p-value represents the probability of obtaining the observed results, or results more extreme, assuming the null hypothesis is true. In this case, the p-value is greater than the significance level, which means that the observed results are not significant enough to reject the null hypothesis.
With a p-value of .11 and a significance level of .05, we can conclude that there is not enough evidence to reject the null hypothesis.
When comparing the p-value to the significance level (0.05), if the p-value is less than or equal to the significance level, you would reject the null hypothesis, indicating that there is a significant effect or difference.

If the p-value is greater than the significance level, you would fail to reject the null hypothesis, meaning that you cannot conclude that there is a significant effect or difference.

Hence, the p-value (0.11) is greater than the significance level (0.05), you fail to reject the null hypothesis, which means you cannot conclude that there is a significant effect or difference.

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Answer:

A, 6:00 P.M. EST

Step-by-step explanation:

The time difference between EST and PST is -3 hours

11 am - 9am = 2 hours

2 - (-3) = 2+3 = 5 hours

The flight time is 5 hours

Then:

The time difference between PST and EST is +3 hours

5 + 3 = 8

If the fly leaves Los Angeles at 10:00 AM PST

10 + 8 = 18

The plane will arrive at 6:00PM EST

The median for the given sample of data is A. 20.

To find the median for the given sample of data, we need to arrange the numbers in ascending order and then find the middle value.

Arranging the numbers in ascending order: 16, 17, 18, 18, 19, 19, 21, 22, 22, 23, 25

There are 11 numbers in the sample, so the middle value is the (11 + 1) / 2 = 6th value.

The 6th value in the ordered list is 19.

Therefore, the median for this sample of data is A. 20.

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The complement of an event is the probability of the event not occurring. In this case, if the probability of an event is 4/7, then its complement would be 1 - 4/7, which simplifies to 3/7.

The complement of an event A, denoted as A', is the probability of A not occurring. In this case, if the probability of an event A is 4/7, then the probability of A' is given by:

P(A') = 1 - P(A)

Substituting the value of P(A) as 4/7:

P(A') = 1 - 4/7

To subtract fractions, we need a common denominator:

P(A') = 7/7 - 4/7

Simplifying the expression:

P(A') = 3/7

Therefore, the complement of the event with a probability of 4/7 is 3/7.

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Answer:

d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

like the guy above me said

Answer:

73.1 cm

Step-by-step explanation:

In the drawing, the rubber track is in black and the wheels are in light gray.

As we can see in the figure, the rubber track will have a length of two halfs of a circunference of radius 8 cm plus six diameters of 8 cm. So the total length is:

Length of rubber track = pi * 8 + 6 * 8 = 25.13 + 48 = 73.133 cm

Rounding to one decimal place, we have that the length is 73.1 cm

This question is incomplete because it lacks the diagram of the 4 circular wheels.

Find attached to this answer the appropriate diagram

Answer:

100.5cm

Step-by-step explanation:

The formula to be used in this calculation is the circumference of a circle.

The circumference of a circle can be defined as the actual length of a circle when it is stretch out(opened up) or the distance around a circle.

The formula for the circumference of a circle is given as 2πr where r = radius of the circle

Or πD where D = Diameter of the circle

In the question, we are given the diameter of the circle = 8cm

So we use the Formula

= πD

The length of the rubber track around one wheel is

= π × 8cm = 25.132741229cm

From the attached diagram, we can see we have 4 wheels.

The length of the rubber track that goes around the four wheels is calculated as

4 × 25.132741229cm = 100.53096491cm.

Approximately to one decimal place = 100.5cm

Therefore, the length of the rubber track that goes around the four wheels to one decimal place is 100.5cm

6000FT, is the shortest length of fence that the rancher can use.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

Let the rectangular field's length be x.

rectangle field width = y

square feet of a rectangular field's area

Because length is always positive, it is always positive.

Once more, discriminate with respect to x

replace x=1500

Therefore, at x=1 500, fencing is minimal.

Change x to 1 500.

the rectangular field is 1500 feet long.

rectangle field's width is 1000 feet.

Replace the values

shortest used fence length =6000ft

Hence, 6000FT, is the shortest length of fence that the rancher can use.

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Answer: 2 x2=4 or 2x-2=-4

Step-by-step explanation: its simple math

Step-by-step explanation:

Simple

Total no of marbles = 6 + 4 + 8 = 18

Probability of red marble = 6 / 18 = 1/ 3

Answer:

£32

Step-by-step explanation:

10% of 320 = 32

Calculate a percentage based on 2 numbers.

For example: 32/320 = 10%

The measure of DE, given that Triangle ABC is similar to Triangle DEF, is 53. 09 units .

To find the measure of DE, you need to use the corresponding sides of BC and EF to find the scale factor that shows the difference in the sizes of corresponding sides.

The scale factor is:

= 31 / 8

= 3. 875

Now, since the value of the corresponding side of AB is 13.7 units, the measure of DE would be :

= 13. 7 x 3. 875

= 53. 09 units

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Therefore , the solution of the given problem of equation comes out to be value of g is 12 .

In a math equation, the comparable symbol (=) is used to denote equality between two propositions. It is demonstrated that by using mathematical formulas, which have been expressions of reality, different numerical factors can be compared. The equal sign, for instance, splits the integer 12 or the equation y + 6 = 12 to 2 different halves. It is possible to determine how many characters each side of such a symbol has. It's common for symbols to have conflicting meanings.

Here,

Given :

=> g -3 = 9

To find the value of g :

=> g = 9 + 3

=> g = 12

Thus , value of g is 12.

Therefore , the solution of the given problem of equation comes out to be value of g is 12 .

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Answer:

Range is { -3, -2, 2,4}

Step-by-step explanation:

The range is the y values, or the outputs

Range is { -3, -2, 2,4}

Answer:

Range is { -3, -2, 2,4}

Step-by-step explanation:

Answer:

The area of the actual park = 1,012.5 m^2

Step-by-step explanation:

In this question, we want to calculate the actual area of the park.

The scale drawing is given as 10 cm by 5 cm

Let’s translate this to actual measurements;

Since 1 cm = 4.5 m, then 10 cm will be 10 * 4.5 = 45 m while 5.0cm will be 5 * 4.5 = 22.5 m

So the actual dimensions of the park will be ;

45m by 22.5 m

Mathematically, the area of a rectangle = L * B = 45 m * 22.5 m = 1,012.5 m^2

Answer:

R=3K/P

Step-by-step explanation:

P=3K/R

RP=3K

RP/P=3K/P

R=3K/P

Answer:

sqrt85

Step-by-step explanation:

In this communication system where X and Z are independent and Y=X+Z, and X=+1, the probability of X=-1 is (t+0.5)/3 for 1<=t<=2.5.

Since X and Z are independent, the probability distribution of Y can be found as follows:

P(Y≤t) = P(X+Z≤t) = P(Z≤t-X)

P(Y>t) = P(X+Z>t) = P(Z>t-X)

Since Z is uniformly distributed in the range of [-1.5, +1.5], its probability density function (PDF) is constant over this range, i.e., fZ(z)=1/3 for -1.5<=z<=1.5, and zero elsewhere.

Now, we can calculate the probability of X=-1 given that X=+1 as follows:

P(X=-1|X=+1) = P(Y<t|X=+1)

= P(X+Z<t|X=+1)

= P(Z<t-1)

= integral from -1.5 to t-1 of fZ(z) dz

= integral from -1.5 to t-1 of 1/3 dz

= (t-1+1.5)/3, for -0.5<=t<=1

= (t+0.5)/3, for 1<=t<=2.5

Therefore, the probability that X=-1 given that X=+1 is (t+0.5)/3 when 1<=t<=2.5.

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Answer:

Do like this

Step-by-step explanation:

Hope it helps you

Answer: Is in the photos

Step-by-step explanation: Is in the photos

(Is that understandable?)

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tanx = \(\frac{sinx}{cosx}\) , sin²x + cos²x = 1, secx = \(\frac{1}{cosx}\)

Consider left side

tanAsinA + cosA

= \(\frac{sinA}{cosA}\) × sinA + cosA

= \(\frac{sin^2A}{cosA}\) + cosA

\(\frac{sin^2A+cos^2A}{cosA}\)

= \(\frac{1}{cosA}\)

= secA = right side , thus proven

The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

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Answer:

24

Step-by-step explanation:

18+12-6

Answer:

24

Step-by-step explanation:

6+4=10

10-2=8

3*8=24

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Answer: y=-3x-5

Step-by-step explanation:

(0,-5)   (-1,-2)

\(\displaystyle\\\frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1}\)

x₁=0     x₂=-1     y₁=-5    y₂=-2

\(\displaystyle\\\frac{x-0}{-1-0}=\frac{y-(-5)}{-2-(-5)} \\\\\frac{x}{-1} =\frac{y+5}{-2+5} \\\\-x=\frac{y+5}{3}\)

Multiply both parts of the equation by 3:

\(-3x=y+5\\\\-3x-5=y+5-5\\\\-3x-5=y\)

\(Thus,\ y=-3x-5\)

The function defined by M(t) = 2t + 1 has no maximum value on the interval [0,4) as the derivative of m(t) is not equal to zero.

The maxima of the function can be calculated by the derivative of the function. The derivative is equated to 0 to calculate the critical points. If the second derivative is negative at this critical point then a maximum exists at this point.

The function is M(t) = 2t + 1 . Differentiate the function with respect to t. Now equate the derivative to 0. This will give the critical point. Since 2 is not equal to 0, the critical point does not exist on the curve of the function. Therefore, the function M(t) = 2t + 1does not have a maxima.  M(t) = 2t + 1

   d/dt M(t) = d/dt 2t + 1

                  = 2

d/dt m'(t) = 0

2 not equal to 0

The function does not have a critical point. Therefore, the maxima do not exist for the function.

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Answer:

The angles are acute and x should be 243. Not sure if that's what you are looking for but good luck!

Answer:

I need to know the choices in the blank box before I answer that part of the question.

Step-by-step explanation:

180-117=63

x=63